BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.4.5//EN TZID:America/Los_Angeles X-WR-TIMEZONE:America/Los_Angeles BEGIN:VEVENT UID:0-1747@hmc.edu DTSTART;TZID=America/Los_Angeles:20261008T161500 DTEND;TZID=America/Los_Angeles:20261008T173000 DTSTAMP:20260925T234906Z URL:https://www.hmc.edu/calendar/events/mathematical-connections-seminar-j ason-rosenhouse/ SUMMARY:Mathematical Connections Seminar: Jason Rosenhouse DESCRIPTION:“Dirichlet’s Theorem and the Rise of Analytic Number Theory ”\nIn 1837\, Peter Dirichlet proved the following theorem: If a and d ar e relatively prime integers\, then the arithmetic progression a\, a+d\, a+ 2d\, . . . contains infinitely many prime numbers. His proof ushered in a revolution in number theory because it relied in a critical way on complex analysis. The use of analytic methods to solve problems in number theory was a tremendous innovation at the time. We will consider some of the deta ils of Dirichlet’s proof\, focusing on understanding why there is a deep connection between these seemingly unrelated branches of mathematics. Thr oughout\, we will be more concerned with the ideas underlying the proof th an we will with presenting an excessive amount of technical detail. ATTACH;FMTTYPE=image/jpeg:https://www.hmc.edu/calendar/wp-content/uploads/ sites/39/2026/01/math-semonar.jpg CATEGORIES:Community Connections,Faculty,Staff,Students LOCATION:Shanahan Center\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711\, United States X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=320 E. Foothill Blvd.\, Cla remont\, CA\, 91711\, United States;X-APPLE-RADIUS=100;X-TITLE=Shanahan Ce nter:geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:America/Los_Angeles X-LIC-LOCATION:America/Los_Angeles BEGIN:DAYLIGHT DTSTART:20260308T030000 TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT END:DAYLIGHT END:VTIMEZONE END:VCALENDAR